What is 2/8 plus 1/7 in fraction?
2/8 plus 1/7 equals to 11/28 in fraction form.
Learn how to find what is 2/8 plus 1/7 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/7 as a fraction and decimal.
Summary: 2/8 plus 1/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/8 and 1/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 56 is the LCM of 8 and 7. Multiply the LCM 56 with all the numerators and denominators of both fractions (2/8 x 56/56) + (1/7 x 56/56) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 22/56.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/8+1/7 using LCM Method:
What is 2/8 plus 1/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/7
What to be found?
2/8+1/7 = ?
Find what's the sum of 2/8 and 1/7.
step 2 Compare the denominators of fractions 2/8 and 1/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/7 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/8 and 1/7:
The LCM of 8 and 7 is 56.
step 4 Write the fractions 2/8 and 1/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/8+1/7
=(2 x 56)/(8 x 56)+(1 x 56)/(7 x 56)
step 5 Simplify the expression to have common denominator:
=14/56+8/56
step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (14/1+8/1)
=1/56 x (14 + 8)
step 7Simplify the above expression further:
=1/56 x 22
= 22/56
=11/28
2/8+1/7=11/28
Hence,
2/8 plus 1/7 equals to 11/28 in fraction.
2/8+1/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/7
What to be found?
2/8+1/7 = ?
Find what's the sum of 2/8 and 1/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 7), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (2 x 7) + (1 x 8)/(8 x 7)
step 3 Simplify and rewrite the fraction:
= (14 + 8)/56
= 22/56
= 11/28
2/8+1/7 = 11/28
Hence,
2/8 plus 1/7 = 11/28